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Ourmedia
by Co.H Tran , University of Natural Sciences , HCMC Vietnam MMPC VN
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Solving the Volterra's integral equation II with applying the Neumann series and the average approximating method on functional adjustment quantity . http://www.maplesoft.com/applications/app_center_view.aspx?AID=1952
Topics: Volterra, Sokolov, Average approximate, Applied Mechanics, Mathematics, Integral Equation
Community Texts
by CO. H . TRAN , CO HONG TRAN MMPC VN
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** Abstract : -Calculating the maximum value Pmax that causes the fracture propagation while applying the internal static pressure . -Evaluating the time-limit for applying the continous / discrete form of internal dynamic pressure for the round metal vessel under conditions given by series expansion and curve -fitting method . ** Subjects: Fracture Mechanics , The stress intensity factor KI .
Topics: Fracture Mechanics, The stress intensity factor KI, pressure vessel
Ourmedia
by Co. H. Tran - Faculty of Mathematics, University of Natural Sciences - VNU-HCM MMPC VN
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We consider the non-linear random vibration model demonstrated by the Duffing's differential equation. The stationary random process is f( t) which is satisfied < f(t) > = 0 with the spectral density function Sf ( w ) . To find the solution Sx ( w ) of (*) we use the equivalent linearization method . http://www.maplesoft.com/applications/app_center_view.aspx?AID=1993
Topics: Duffing, Equivalent Linearization, Spectral Density, Applied Mechanics, Mathematics
Ourmedia
by CO.H.TRAN - VNU-HCMC- Vietnam MMPC VN
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The paper presents some thoughts about the plane strain problem of the viscous orthotropic composite materials cylinder under internal and external pressure with respect to using the average approximating method . To compute the interior stress , from the elastic solution we use the Volterra's principle and Sokolov's method in the corresponding integral equation to find the viscous solution . http://www.maplesoft.com/applications/app_center_view.aspx?AID=1976
Topics: Viscous, Sokolov, Applied Mechanics, Mathematics, Integral Equation, Volterra, Composite
Ourmedia
by Co.H Tran , University of Natural Sciences , HCMC Vietnam MMPC VN-
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Duffing quation is solved by Runge-Kutta approximating method. This worksheet demonstrates Maple's capabilities in the design of a dynamic system and finding the numerical solution of the Duffing equation. http://www.maplesoft.com/applications/app_center_view.aspx?AID=1951
Topics: Runge Kutta, Duffing, Dynamic system, Differential equation, Applied Mechanics, Mathematics
Ourmedia
by CO.H . TRAN-Faculty of Mathematics, University of Natural Sciences - VNU-HCM MMPC VN
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This application demonstrates Maple's capabilities in the design of a dynamic system and solving the non-linear SYSTEM of differential equations by Runge-Kutta method. http://www.maplesoft.com/applications/app_center_view.aspx?AID=1967
Topics: Runge-Kutta, Non-linear, Differential equation, Discrete data, Applied Mechanics, Mathematics
Ourmedia
by Co .H.Tran , MMI , VNU-HCM Vietnam MMPC VN
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Abstract: The worksheet presents some thoughts about the plane strain problem of the viscous orthotropic composite materials cylinder under internal and external pressure with respect to using the direct method. To compute the interior stress, from the elastic solution we use the correspondence principle and the inverse Laplace transform. http://www.maplesoft.com/applications/app_center_view.aspx?AID=2136
Topics: Direct method, Composite, correspondence, Laplace tranform, Applied Mechanics, Mathematics
Ourmedia
by Co Hong Tran , Phong . T . Ngo MMI - VNU-HCM MMPC VN
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Abstract : The relations between stress and strain in linear viscoelastic theory are discussed from the viewpoint of application to problems of stress analysis. This consideration includes some important differences from the estimation of linear viscoelastic laws for the representation of material properties , and the integral operators expressing the creep function or relaxation function can be applied . By using of the differential operator for the relation between stress and strain it is...
Topics: Viscoelasticity, Creep function, Applied Mechanics, Mathematics
Community Texts
by Co Hong Tran , NCU-HUI , MMI , Vietnam MMPC VN
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We consider the non-linear random vibration model described by the system of differential equations . The solution can be found by using the inverse Laplace transformation .This worksheet demonstrates Maple's capabilities in the design and finding the numerical solution of the non-linear vibration system .
Topics: Vibration Mechanics, The Differential equations, Applied Mechanics, Mathematics, Laplace Transform
Ourmedia
by Co Hong Tran , MMI , VNU-HCM Vietnam MMPC VN
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Abstract: The worksheet presents some thoughts about the plane strain problem of the viscous orthotropic composite materials cylinder under internal and external pressure with respect to using the direct method. To compute the interior stress, from the elastic solution we use the correspondence principle and the inverse Laplace transform. http://www.maplesoft.com/applications/app_center_view.aspx?AID=2136
Topics: Direct method, Composite, correspondence, Laplace tranform, Applied Mechanics, Mathematics
Ourmedia
by Co Hong Tran , University of Natural Sciences , HCMC Vietnam - MMPC VN
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The Lame's differential equation is solved by the finite-difference method . http://www.maplesoft.com/applications/app_center_view.aspx?AID=1974
Topics: Lame, Finite-difference, Applied Mechanics, Mathematics
Community Texts
by Co Hong Tran , NCU-HUI , MMI , Vietnam MMPC VN
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We consider the non-linear random vibration model described by the system of differential equations . The solution can be found by using the inverse Laplace transformation . This worksheet demonstrates Maple's capabilities in the design and finding the numerical solution of the non-linear vibration system . Author : Co Hong Tran , NCU-HUI , MMI , Vietnam . Copyright 2007 March 06 2007
Topics: Vibration Mechanics, The Differential equations, Applied Mechanics, Mathematics, Laplace Transform